C2 chapter 11 - integration

"This chapter introduces you to definite integration and its application to finding areas"
For a written introduction to this important chapter:

Sections

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C2 section 11.1

You need to be able to integrate simple functions within defined limits. This is called definite integration:
$\displaystyle \int_{a}^{b} f'(x) \, dx = [f(x)]_{a}^{b} = f(b) - f(a)$

C2 exercise 11A

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C2 section 11.2

You need to be able to use definite integrals to find areas under curves.
The area between the x-axis, the curve y = f(x) and the vertical lines x = a and x = b is given by:
$\displaystyle Area = \int_{a}^{b} y \, dx$

C2 exercise 11B

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C2 section 11.3

You need to be able to work out areas of curves which lie beneath the x-axis by using the modulaus function ¦f(x)¦
$\displaystyle Area = \lvert \int_a^b {f(x)} \, dx \rvert$

C2 exercise 11C